{
  "id": "1108.5005",
  "version": "v1",
  "published": "2011-08-25T04:40:44.000Z",
  "updated": "2011-08-25T04:40:44.000Z",
  "title": "Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement",
  "authors": [
    "Yusef Maleki"
  ],
  "journal": "SIGMA 7:084,2011",
  "doi": "10.3842/SIGMA.2011.084",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the para-Grassmannian pseudo-Hermitian coherent states (PGPHCSs) examined, and also the stability of coherent and squeezed states discussed. The pseudo-Hermitian supercoherent states as the product of a pseudo-Hermitian bosonic coherent state and a para-Grassmannian pseudo-Hermitian coherent state introduced, and the method also developed to define pseudo-Hermitian supersqueezed states. It is also argued that, for q-oscillator algebra of $k+1$ degree of nilpotency based on the changed ladder operators, defined in here, we can obtain deformed $SU_{q^2}(2)$ and $SU_{q^{2k}}(2)$ and also $SU_{q^{2k}}(1,1)$. Moreover, the entanglement of multi-level para-Grassmannian pseudo-Hermitian coherent state will be considered. This is done by choosing an appropriate weight function, and integrating over tensor product of PGPHCSs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-25T04:40:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "squeezed states",
      "pseudo-hermitian q-oscillator",
      "para-grassmannian coherent",
      "multi-level para-grassmannian pseudo-hermitian coherent state",
      "entanglement"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2011,
      "month": "Aug",
      "volume": 7,
      "pages": "084"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 925069,
      "adsabs": "2011SIGMA...7..084M"
    }
  }
}